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SUMMARY:Aziz Kharoof (Bilkent University)
DTSTART:20230403T103000Z
DTEND:20230403T113000Z
DTSTAMP:20260422T140031Z
UID:BilTop/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/53/">
 Simplicial categories II - Dwyer-Kan localizations</a>\nby Aziz Kharoof (B
 ilkent University) as part of Bilkent Topology Seminar\n\nLecture held in 
 SB-Z11.\n\nAbstract\nThe goal of this talk will be to understand the idea 
 of localization of a category with respect to the class of maps and see ho
 w Dwyer-Kan localization is an example of such. Therefore we will start wi
 th the notion of a localization of a category. Then we will proceed to sev
 eral approaches to the Dwyer-Kan localization - as a derived functor with 
 specific resolution and the hammock version\, that gives a constructive de
 scription of the homotopy category. We will discuss the relation of DK loc
 alization of a simplicial model category and of its homotopy category.\n
LOCATION:https://researchseminars.org/talk/BilTop/53/
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